{"id":"W2168267254","doi":"10.1007/s00220-002-0728-x","title":"Construction of the Incipient Infinite Cluster for Spread-out Oriented Percolation Above 4 + 1 Dimensions","year":2002,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Stochastic processes and statistical mechanics","field":"Mathematics","cited_by":42,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; Microsoft Research","keywords":"Percolation (cognitive psychology); Intersection (aeronautics); Mathematics; Measure (data warehouse); Cluster (spacecraft); Event (particle physics); Dimension (graph theory); Limiting; Probability measure; Continuum percolation theory; Brownian motion; Combinatorics; Percolation critical exponents; Statistical physics; Discrete mathematics; Critical exponent; Statistics; Physics; Computer science; Geometry; Quantum mechanics; Data mining","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002360278,0.0003925409,0.0006435439,0.001694218,0.001560959,0.001254787,0.001152961,0.0008083362,0.002119129],"category_scores_gemma":[0.0007403702,0.0004476806,0.0005484539,0.0006315916,0.001296869,0.0007386611,0.001849043,0.001440837,0.0003733149],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000815481,"about_ca_system_score_gemma":0.0006430997,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009190303,"about_ca_topic_score_gemma":0.0013972,"domain_scores_codex":[0.9998179,0.0000246562,0.000007601176,0.00004135497,0.00006929995,0.00003920847],"domain_scores_gemma":[0.9994848,0.00009317979,0.00004716677,0.00007422504,0.00008826311,0.0002123163],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004925511,0.00004275621,0.000401188,0.00004865482,0.000009365836,0.0002701256,0.0002932935,0.008193153,0.01055314,0.9750831,0.001007452,0.004048449],"study_design_scores_gemma":[0.00006248047,0.00006631681,0.001033506,0.00002652952,0.00002673025,0.000470846,0.0001698165,0.1495156,0.009672261,0.8318152,0.007087498,0.00005317086],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6105207,0.0002313297,0.3295317,0.0005676923,0.0001596792,0.000134136,0.0002150013,0.0006721388,0.05796759],"genre_scores_gemma":[0.8849958,0.0001758536,0.1019674,0.0001759391,0.00004998171,0.000126922,0.0003040907,0.0002134556,0.0119905],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002119129,"threshold_uncertainty_score":0.007089198,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1090307728982962,"score_gpt":0.3527048261011741,"score_spread":0.2436740532028779,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}